Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 63/84, 360/30, 392/982 quickly i.e. 8820 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 63/84, 360/30, 392/982 is 8820.
LCM(63/84, 360/30, 392/982) = 8820
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 63/84,360/30,392/982
Formula to find LCM of Fractions is
LCM = LCM of Numerators/GCF of Denominators
As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators
In the given fractions LCM of Numerators means LCM of 63,360,392
Least Common Multiple of Numerators i.e. LCM of 63,360,392 is 17640.
GCF of Denominators means GCF of 84,30,982 as per the given fractions.
GCF of 84,30,982 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 63,360,392
2 | 63, 360, 392 |
2 | 63, 180, 196 |
2 | 63, 90, 98 |
3 | 63, 45, 49 |
3 | 21, 15, 49 |
7 | 7, 5, 49 |
1, 5, 7 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 7 x 1 x 5 x 7 = 17640
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 63,360,392 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(63,360,392) = 1
common factors(in case of two or more numbers have common factors) = 504
GCF(63,360,392) x common factors =1 x 504 = 504
LCM(63,360,392) = ( 63 × 360 × 392 ) / 504
LCM(63,360,392) = 8890560 / 504
LCM(63,360,392) = 17640
Lets's calculate GCF of 84,30,982
2 | 84, 30, 982 |
42, 15, 491 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17640/2
Therefore the LCM of Fractions 63/84,360/30,392/982 is 8820
Factors of 84
List of positive integer factors of 84 that divides 84 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,84
Factors of 30
List of positive integer factors of 30 that divides 30 without a remainder.
1,2,3,5,6,10,15,30
Factors of 982
List of positive integer factors of 982 that divides 982 without a remainder.
1,2,491,982
Greatest Common Factor
We found the factors 84,30,982 . The biggest common factor number is the GCF number.
So the greatest common factor 84,30,982 is 2.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
1. How to find LCM in Fractions?
Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.
2. What is the LCM of Fractions for 63/84, 360/30, 392/982?
Answer: LCM of Numerators as per given numbers 63/84, 360/30, 392/982 is
LCM of Numerators i.e. for 63,360,392 is 17640
GCF of denominators i.e. for 84,30,982 is 2.
Thus, LCM of Fractions is 8820.Finally, LCM of Fractions for 63/84, 360/30, 392/982 is 8820.